The maximum grade allowed between two stations in a rapid-transit rail system is 3.5%. between station a and station b, which are 260260 ft apart, the tracks rise 7 and one half7 1 2 ft. what is the grade of the tracks between these two stations? round the answer to the nearest tenth of a percent. does this grade meet the rapid-transit rail standards? the grade of the tracks between station a and station b is nothing%. (type an integer or decimal rounded to the nearest tenth as needed.)

2.9%

Step-by-step explanation:

The problem says the stations are 260 feet apart.  Assuming that this is the horizontal distance between them, then the grade is:

7.5 / 260 × 100% = 2.9%

This is less than the maximum of 3.5%, so it meets the standards.

c.   x=2.4cm

step-by-step explanation:

similar triangles are triangles which have the same shape but not the same size. this means their angle measures are equal but their side lengths are not instead they are proportional. to solve, we will set up a proportion and solve.

a proportion is two equal ratios set equal to each other. we form the ratios by finding corresponding sides (sides which match to each other on both triangles by their position). out ratios will be one side of the small triangle over the corresponding side on the big triangle as shown below:

.

to solve the proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.

1

x = 1

step-by-step explanation:

0 ÷ x = 0

0 ÷ 1 = 0